EP st pauls girls school 11 plus maths example paper 2 2017

Name Age Yrs Mths Group Number Use a pencil No calculators or protractors or rulers are allowed There are 18 questions Answer all of them if you can Show all your working in the spaces provided and wr[.]

Name: _

Age: _Yrs _Mths Group Number: _

Use a pencil No calculators or protractors or rulers are allowed

There are 18 questions Answer all of them if you can

Show all your working in the spaces provided and write your answers on the lines provided Use the back pages if necessary

If you cannot do a question, leave it and go on to the next one

Try again later

Do not ask a teacher to explain a question to you

If you finish before the end of 25 minutes go back and check your

answers and try to fill in any answers you have left out.

If you do not finish, or if you cannot understand all the questions, do not worry People work at different speeds.

Calculate 623 − 467

Calculate 286 ÷ 13

Calculate 11% of 32600



Order these from smallest to largest:

6.51 7.49 7.51 6.49 6.9 7.9



Fill in the next three numbers in these sequences:



75 students need 3 pens each Pens are sold in packs of 6 How many whole packs need to be bought?

The minute hand on a clock points exactly to the number 7 It is then turned anticlockwise by 240° What number does it now point to?



Each missing digit in the following calculations is either 2, 5 or 7 Fill in each box with one of these numbers You may use each number more than once

Which whole number when multiplied by itself will give an answer between

190 and 200?

Which number between 81 and 89 is exactly divisible by 6?



Freya has 24 badges If she gives 38 of them to her brother, how many does she have left?



A rectangular room is twice as long as it is wide The perimeter of the room is 36m What is the length of the room?

This cardboard shape is cut out and folded into a cube Circle the cube which could not be formed by this shape



3 cm

Name: _

Age: _Yrs _Mths Group Number: _

Use a pencil No calculators or protractors or rulers are allowed There are 12 questions Answer all of them if you can

Show all your working in the spaces provided and write your

answers on the lines provided Use the back pages if necessary

If you cannot do a question, leave it and go on to the next one Try again later

Do not ask a teacher to explain a question to you

If you finish before the end of 25 minutes go back and check your answers and try to fill in any answers you have left out.

If you do not finish, or if you cannot understand all the

questions, do not worry People work at different speeds.

You are told that 56% of the pupils in a class are girls

What is the smallest number of pupils the class could contain?

A boy spent 3/8 of his allowance and put 1/2 of the remainder in the bank

He then had £15 left

How much money did he have to start with?



A carpet measuring 4m by 3m covers 60% of the floor area in a rectangular room

What is the width of the room if the length is 5 m?

Here are two views of the same cube:

Bill sold his motor scooter to Tom for £120 After driving it for a few days, Tom discovered it was in such a broken-down condition that he sold it back

to Bill for 30% less than he paid The next day Bill sold it to Jack for £90 What is Bill’s profit on the final sale?



At a railway station there are two platforms At one platform, trains leave

every 24 minutes and at the other every 30 minutes If trains leave both platforms at 9 a.m., what time is it when trains next leave both platforms at the same time?



A train takes 3 hours 40 minutes to travel from York to London It arrives at

18:00 having been delayed by 45 minutes At what time did it leave York?



The diagram shows a patio made up of square concrete slabs The shaded ones are cracked

a) What fraction of the total number of slabs is cracked?

Look at these numbers and the multiplications:

100 aliens attended an inter-species meeting on Mars 76 of them needed breathing apparatus, 52 needed shaded goggles, but 23 aliens didn’t need either

How many aliens needed breathing apparatus goggles?

Blocks of this shape are packed into the container

on the right What is the greatest number of blocks

that can be placed inside the container?

Name: _

Use a pencil No calculators or protractors or rulers are allowed There are 7 questions Answer all of them if you can

Show all your working in the spaces provided and write your answers

on the lines provided Use the back pages if necessary

If you cannot do a question, leave it and go on to the next one

Try again later

Do not ask a teacher to explain a question to you

If you finish before the end of 25 minutes go back and check your answers and try to fill in any answers you have left out.

If you do not finish, or if you cannot understand all the questions, do not worry People work at different speeds.

Given the following clues, can you work out the

number of gold, silver and bronze medals that

France, Italy and Japan got in an international

sports competition?

a) Japan has 1 more gold medal, but 3 fewer

silver medals, than Italy

b) France has the most bronze medals (18),

but fewest gold medals (7)

c) Each country has at least 6 medals of each type, (6 or more) d) Italy has 27 medals in total

e) Italy has 2 more bronze medals than gold medals

f) The three countries have 38 bronze medals in total

g) France has twice as many silver medals as Italy has gold medals h) Italy and Japan have the same number of bronze medals

Complete the medal table below:

7

27

The T-tetromino is the shape made by joining four 1x1 squares edge to edge,

as shown below A rectangle has dimensions 4a x 4b, where a and b are whole numbers Prove that the rectangle can be tiled by these T-tetrominoes

so that it is covered exactly without gaps or overlaps

It takes 2 men 3 days to build a wall To answer these questions, assume that

all men work at the same rate all the time and take no breaks! You may use

fractions, where necessary

(a) A sequence starts 4,16,…… Each term is 4 times the term before

Write down the next five numbers in the sequence

(b) The first two numbers in a sequence are 2 and 4 Each of the following numbers in the sequence is the sum of all the numbers which come before it

Write down the next five numbers in the sequence

You are reminded that to write the number 135 requires three digits To

write 5056 requires four digits

What is the total number of digits required to write each of the

following sets of numbers?

This pattern of 20 tiles is arranged as 4 rows and

5 columns The outer tiles around the edge are

white and the inner tiles are black

When I change the number of rows and columns

in my pattern I continue to keep the outer tiles

around the edge white

(a) Complete the following table:

Imagine that you have a can of red paint, a can of blue paint and a large

supply of wooden cubes, all the same size You decide to paint the cubes by making each face either red or blue How many different coloured cubes can you make?

(Two cubes are considered the same if one can be turned so that all its sides match the corresponding sides of the other cube.)

You can use the diagrams below to help